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Annihilation effects in $B \to \pi\pi$ from QCD Light-Cone Sum Rules

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arxiv hep-ph/0509049 v2 pith:NCLX3I4C submitted 2005-09-06 hep-ph

classification hep-ph
keywords annihilationamplitudeeffectsemissionlight-conerulesanalysiscalculate
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Using the method of QCD light-cone sum rules, we calculate the $B \to \pi\pi$ hadronic matrix elements with annihilation topology. We obtain a finite result, including the related strong phase. Numerically, the annihilation effects in $B\to \pi\pi$ turn out to be small with respect to the factorizable emission mechanism. Our predictions, together with the earlier sum rule estimates of emission and penguin contributions, are used for the phenomenological analysis of $B\to \pi\pi$ channels. We predict a $\Delta I=1/2$ transition amplitude which significantly differs from this amplitude extracted from the current data.

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  1. $D\to P \ell^+\ell^-$ decays assisted by QCD light-cone sum rules

    hep-ph 2025-05 conditional novelty 7.0 of 10

    A new LCSR-assisted dispersion method predicts the D+ to pi+ l+ l- branching fraction and shows that the short-distance c to u l+ l- transition is practically invisible in the Standard Model.

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